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3413223132 = 22311315211601
BaseRepresentation
bin1100101101110001…
…1010011011011100
322210212120200220120
43023130122123130
523442241120012
61322405114540
7150403626564
oct31334323334
98725520816
103413223132
1114a1748070
127b30b8a50
134251a5777
1424544dda4
1514e9ba58c
hexcb71a6dc

3413223132 has 96 divisors (see below), whose sum is σ = 8991295488. Its totient is φ = 998400000.

The previous prime is 3413223089. The next prime is 3413223157. The reversal of 3413223132 is 2313223143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131132 + ... + 2132732.

It is an arithmetic number, because the mean of its divisors is an integer number (93659328).

Almost surely, 23413223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495647744).

3413223132 is an abundant number, since it is smaller than the sum of its proper divisors (5578072356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3413223132 is a wasteful number, since it uses less digits than its factorization.

3413223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3413223132 is about 58422.7963384157. The cubic root of 3413223132 is about 1505.6414423751.

Adding to 3413223132 its reverse (2313223143), we get a palindrome (5726446275).

The spelling of 3413223132 in words is "three billion, four hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 521 682 1023 1042 1364 1563 1601 2046 2084 3126 3202 4092 4803 5731 6252 6404 9606 11462 16151 17193 17611 19212 22924 32302 34386 35222 48453 49631 52833 64604 68772 70444 96906 99262 105666 148893 177661 193812 198524 211332 297786 355322 532983 545941 595572 710644 834121 1065966 1091882 1637823 1668242 2131932 2183764 2502363 3275646 3336484 5004726 6551292 9175331 10009452 18350662 25857751 27525993 36701324 51715502 55051986 77573253 103431004 110103972 155146506 284435261 310293012 568870522 853305783 1137741044 1706611566 3413223132